After you have generated patterns for your design, all you need to do to is pattern simulation to verify your patterns.
Now,answering your first question,
For debugging output mismatch error you need to read "TEST PATTERN VALIDATION" by Synopsis user-guide.
In that you'll find there are six types of output miscompare messages can be present.i.e. Signal XYZ expected to be 1 was X.You need to read this first to debug your simulation failure.
Answer to second question,
Step-1.Create a testbench file(.v file) by using ATPG tool. If you're using TetraMAX ,then write out testbench using write_testbench command.
Step-2.Point the stil(pattern) file which you have already generated into the testbench file to help understanding testbench file which patterns you want to simulate.
Step-3.Don't forget to include your netlist while doing simulation.
Step-4.For simulation tool there are many available,mostly i prefer vcs tool.Take whichever simulation tool you want and start the simulation.
Cheers!!
Please do correct me if anything is wrong.